Pith Number

pith:PLACFEQH

pith:2014:PLACFEQHNVJR6QSQEBYIFPZO6Y

not attested not anchored not stored refs pending

Derived category of coherent sheaves and counting invariants

Yukinobu Toda

arxiv:1404.3814 v2 · 2014-04-15 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLACFEQHNVJR6QSQEBYIFPZO6Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:51:33.004910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac02292076d531f4250207082bf2ef6006f4f23a4cb48e304de93d1b71f62be

Aliases

arxiv: 1404.3814 · arxiv_version: 1404.3814v2 · doi: 10.48550/arxiv.1404.3814 · pith_short_12: PLACFEQHNVJR · pith_short_16: PLACFEQHNVJR6QSQ · pith_short_8: PLACFEQH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PLACFEQHNVJR6QSQEBYIFPZO6Y \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7ac02292076d531f4250207082bf2ef6006f4f23a4cb48e304de93d1b71f62be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baad78cc832a8d540010e9a898b2491b3864b8fe9e8cd2705cc33d284e48983e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-15T04:07:46Z",
    "title_canon_sha256": "6071b25f3a49e77ebd90d0ace9b0ee34ce81c4f917f04753fea0df3523c0f531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3814",
    "kind": "arxiv",
    "version": 2
  }
}